An inequality. Please write out an english induction proof to prove the following. DO NOT just write an example of a situation where it is true or state that it is, please prove it with a proof

6. An Inequality (20 points) Prove that for all n e N and all I ER with r>-2 the inequality (2+)" > 2n + n2n-1, is true. 6. An Inequality (20 points) Prove that for all n e N and all I ER with r>-2 the inequality (2+)" > 2n + n2n-1, is true